Yazar "Qayyum, A." seçeneğine göre listele

Listeleniyor 1 - 3 / 3
  • Küçük Resim
    Öğe
    NEW REFINEMENTS AND APPLICATIONS OF OSTROWSKI TYPE INEQUALITIES FOR MAPPINGS WHOSE nth DERIVATIVES ARE OF BOUNDED VARIATION
    (Turkic World Mathematical Soc, 2021) Budak, Hüseyin; Sarıkaya, Mehmet Zeki; Qayyum, A.
    The main aim of this paper is to establish some Ostrowski type integral inequalities using a newly developed special type of kernel for mappings whose nth derivatives are of bounded variation. We deduce some previous results as a special case. Some new efficient quadrature rules are also introduced.
  • Küçük Resim
    Öğe
    New results on Hermite–Hadamard type inequalities via Caputo-Fabrizio fractional integral for s-convex function
    (University of Nis, 2023) Nasir, J.; Qaisar, S.; Qayyum, A.; Budak, Hüseyin
    The purposeiof thisiarticle is to construction Hermite–Hadamard itype inequalities viaiCaputo-Fabrizio fractional integralifor s-convexifunction. The results are applied to fractionalivariations of Hermite– Hadamarditype inequalities foridifferentiableimapping ? with s-convexiabsolute value derivatives. The findings also provide a new lemma for ?? and new limitsivia Caputo-Fabrizio fractionalioperator by using the well-knowniHölder’s integral inequalities. Moreover some new boundsifor applications of matrix and special means of different positive real numbers are also discussed. © 2023, University of Nis. All rights reserved.
  • Küçük Resim Yok
    Öğe
    A study of improved error bounds for Simpson type inequality via fractional integral operator
    (University of Nis, 2024) Munir, A.; Qayyum, A.; Supadi, S.S.; Budak, Hüseyin; Faiz, I.
    Fractional integral operators have been studied extensively in the last few decades, and many different types of fractional integral operators have been introduced by various mathematicians. In 1967 Michele Caputo introduced Caputo fractional derivatives, which defined one of these fractional operators, the Caputo Fabrizio fractional integral operator. The main aim of this article is to established the new integral equalities related to Caputo-Fabrizio fractional integral operator. By incorporating this identity and convexity theory to obtained a novel class of Simpson type inequality. In this paper, we present a novel generalization of Simpson type inequality via s-convex and quasi-convex functions. Then, utilizing this identity the bounds of classical Simpson type inequality is improved. Finally, we discussed some applications to Simpson's quadrature rule. © 2024, University of Nis. All rights reserved.